## The National Arithmetic on the Inductive System: Combining the Analytic and Synthetic Methods, Together with the Cancelling System : Forming a Complete Mercantile Arithmetic |

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### Common terms and phrases

acres amount answer Arithmetic barrels beam bill body Boston Bought breadth bushels called cent Change circle circumference cloth common compound contain continued cords cost cube cubic decimal denominator diameter difference distance Divide dividend division divisor dollars equal EXAMPLES exchange expressed extremes feet long figure foot four fraction gain gallons give given half hand hundred inches interest June length less letter loss measure method miles mixed months Multiply Note number of terms obtained OPERATION paid payment perform period pounds present principal PROBLEM proportion purchase quantity question quotient ratio received Reduce remainder rods root Rule share shillings side simple sold square subtract taken third thousand tons United week weight wheel whole wide wine worth write yards

### Popular passages

Page 174 - Compute the interest to the time of the first payment ; that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and in like manner from one payment to another, till all the payments are absorbed: provided the time between one payment and another be one year or more.

Page 170 - Compute the interest on the principal sum, from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payment...

Page 201 - Ratio is the relation which one quantity bears to another of the same kind, the comparison being made by considering what multiple, part, or parts, one quantity is of the other.

Page 258 - Raise the ratio to a power whose index is equal to the number of terms, from which subtract 1 ; divide the remainder by the ratio, less 1, and the quotient, multiplied by the first term, will be the answer.

Page 313 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.

Page 294 - Thirty days after sight of this first of exchange (second and third of the same tenor and date unpaid...

Page 325 - ... above the upper deck ; the breadth thereof at the broadest part above the main wales, half of which breadth shall be accounted the depth of such vessel, and...

Page 90 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.

Page 196 - B. $380, to be paid as follows: $100 in 6 months, $120 in 7 months, and $160 in 10 months. What is the equated time for the payment of the whole ? Ans.

Page 239 - Double the figures already found in the root for a new divisor, (or, bring down your last divisor for a new one, doubling the right hand figure of it,) and from these find the next figure in the root, as last directed, and continue the operation in the same manner, till you have brought down all the periods.